document.write( "Question 397255: Solve for x.
\n" ); document.write( "\"4x%28x-9%29-5x%28x-8%29=-5\"
\n" ); document.write( "x=____
\n" ); document.write( "Simplify your answer. Use a comma to separate answers as needed.
\n" ); document.write( "

Algebra.Com's Answer #281620 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"4x%28x-9%29-5x%28x-8%29=-5\"\r
\n" ); document.write( "\n" ); document.write( "\"4x%5E2+-4x%2A9-5x%5E2+-5x%2A%28-8%29+=-5\"\r
\n" ); document.write( "\n" ); document.write( "\"4x%5E2+-36x+-5x%5E2+%2B40x+=-5\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-x%5E2+%2B4x+=+-5\"\r
\n" ); document.write( "\n" ); document.write( "\"-x%5E2+%2B4x+%2B+5+=+0\"......use quadratic formula\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: Quadratic Formula
Let's use the quadratic formula to solve for x:

\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( " Starting with the general quadratic
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"ax%5E2%2Bbx%2Bc=0\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " the general solution using the quadratic equation is:
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " So lets solve \"-x%5E2%2B4%2Ax%2B5=0\" ( notice \"a=-1\", \"b=4\", and \"c=5\")
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"x+=+%28-4+%2B-+sqrt%28+%284%29%5E2-4%2A-1%2A5+%29%29%2F%282%2A-1%29\" Plug in a=-1, b=4, and c=5
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"x+=+%28-4+%2B-+sqrt%28+16-4%2A-1%2A5+%29%29%2F%282%2A-1%29\" Square 4 to get 16
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"x+=+%28-4+%2B-+sqrt%28+16%2B20+%29%29%2F%282%2A-1%29\" Multiply \"-4%2A5%2A-1\" to get \"20\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"x+=+%28-4+%2B-+sqrt%28+36+%29%29%2F%282%2A-1%29\" Combine like terms in the radicand (everything under the square root)
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"x+=+%28-4+%2B-+6%29%2F%282%2A-1%29\" Simplify the square root (note: If you need help with simplifying the square root, check out this solver)
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"x+=+%28-4+%2B-+6%29%2F-2\" Multiply 2 and -1 to get -2
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " So now the expression breaks down into two parts
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"x+=+%28-4+%2B+6%29%2F-2\" or \"x+=+%28-4+-+6%29%2F-2\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Lets look at the first part:
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"x=%28-4+%2B+6%29%2F-2\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"x=2%2F-2\" Add the terms in the numerator
\n" ); document.write( "
\n" ); document.write( " \"x=-1\" Divide
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " So one answer is
\n" ); document.write( "
\n" ); document.write( " \"x=-1\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Now lets look at the second part:
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"x=%28-4+-+6%29%2F-2\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"x=-10%2F-2\" Subtract the terms in the numerator
\n" ); document.write( "
\n" ); document.write( " \"x=5\" Divide
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " So another answer is
\n" ); document.write( "
\n" ); document.write( " \"x=5\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " So our solutions are:
\n" ); document.write( "
\n" ); document.write( " \"x=-1\" or \"x=5\"
\n" ); document.write( "
\n" ); document.write( "

\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );